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Finding the Third Proportional to 154,615.50 and 328,185

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Solution

The third proportional to 154,615.50 and 328,185 is: 696,601.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,615.50 : 328,185 = 328,185 : x
  2. Step 2: Convert to fraction form
    154,615.50/328,185 = 328,185/x
  3. Step 3: Cross multiply
    154,615.50x = 328,185 × 328,185
  4. Step 4: Simplify right side
    154,615.50x = 107,705,394,225
  5. Step 5: Solve for x
    x = 107,705,394,225/154,615.50
  6. Step 6: Final answer
    x = 696,601.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.